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P(r,b,w) + P(r,w,b) + P(b,w,r) + P(b,r,w) .. should be 6 of these
6 * (5.3.2)/(10.9.8) sounds about right
The number of ways of choosing one ball of each color in a random sample of 3 is \[5\times3\times2\] The total number of ways of choosing 3 balls at random out of 10 balls is 10C3. The required probability is given by \[P(3\ different\ colored\ balls)=\frac{5\times3\times2}{\frac{10!}{3!7!}}=you\ can\ calculate\]
im assuming without replacement ...
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